Question

Reduce the following equation into slope-intercept form and find their slopes and the y-intercepts.

6x + 3y – 5 = 0

Answer 1

The given equation is 6x + 3y – 5 = 0.

It can be written as

y = `1/3(-6"x" + 5)`

y = `-2"x" + 5/3` ........(1)

This equation is of the form y = mx + c, where m =  −2 and c = `5/3`.

Therefore, equation (1) is in the slope-intercept form, where the slope and the y-intercept are −2 and `5/3` respectively.